To me the problem of digital distraction always leads back to the physical, i.e. means our bodies.
"When we undertake activities that pull us beyond our heads, when we cultivate attention’s erotic pull, we begin the process of becoming authentic individuals. These activities have internal standards of excellence that demand confrontation and struggle with the world around us; [...]"
"Pulling us beyond our heads" and also "struggling with the world", for me, both means to engage in Besinnung, which is a german word that you may losely translate or read as to come to senses or to re-sensualize. Being engaged in digital media and contemporary visual culture (screens, programs, communication etc.) is something that adds up to an already heavy-headed bias in everyday life. Whereas our corporality is our actual connection to the outide. While this sounds painfully esoteric as well as self-evident, it's something that is regressing in our society.
The meaning of the word attention also seems to revolve around orienting towards the outside. I'm not an etymologist, so it might be wrong, but for me it rather refers to the physical as described above, as compared to us being embeded in society and history.